To determine how much the company can expect in sales if it spends [tex]$\$[/tex]50$ in advertising, we can use the given linear regression equation \( y = 2.1x + 130 \).
Here's the step-by-step process to solve the problem:
1. Identify the values given in the problem:
- \( x = 50 \) dollars (amount spent on advertising)
2. Substitute the value of \( x \) into the equation:
- The equation given is \( y = 2.1x + 130 \).
3. Perform the substitution:
[tex]\[
y = 2.1 \times 50 + 130
\][/tex]
4. Calculate the result of the multiplication:
- \( 2.1 \times 50 \) equals 105.
5. Add the constant term to the product:
[tex]\[
y = 105 + 130
\][/tex]
6. Perform the addition:
[tex]\[
y = 235
\][/tex]
Therefore, if the company spends \[tex]$50 on advertising, it can expect approximately \$[/tex]235 in sales.
The correct answer is:
D. [tex]$\$[/tex] 235$
